GCF of 3808/626, 8651/695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3808/626, 8651/695 i.e 1/435070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3808/626, 8651/695.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3808/626,8651/695?
Given fractions are 3808/626,8651/695
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3808/626,8651/695, numerators are 3808,8651
Denominators are 626,695
The GCF of 3808,8651 is 1 .
LCM of 626,695 is 435070.
The greatest common factor of 3808/626,8651/695 = [GCF of 3808,8651]/[LCM of 626,695]= 1/435070
Therefore, the GCF of 3808/626,8651/695 is 1/435070.
To find the highest common factor of 3808,8651, we have to find the factors of both numbers and list the highest common factor.
The factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808
The factors of 8651 are 1, 41, 211, 8651
The HCF of 3808,8651 is 1.
Lets's calculate GCF of 3808,8651
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3808,8651 By Matching Biggest Common Factor Method
Now, list down the factors of 3808
:1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808
Now, list down the factors of 8651
:1,41,211,8651
Greatest Common Factor
We found the factors 3808,8651 . The biggest common factor number is the GCF number.
So the greatest common factor 3808,8651 is 1.
Lets's calculate LCM of 626,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 435070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435070
Therefore, the GCF of Fractions 3808/626,8651/695 is 1/435070
Least Common Multiple of 626,695 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 626,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(626,695) x common factors =1 x 1 = 1
LCM(626,695) = ( 626 × 695 ) / 1
LCM(626,695) = 435070 / 1
LCM(626,695) = 435070
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3808/626, 8651/695
1. What is the HCF of 3808,8651?
The HCF of 3808,8651 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3808/626, 8651/695?
Answer: GCF of Numerators as per given numbers 3808/626, 8651/695 is
GCF of Numerators i.e. for 3808,8651 is 1
LCM of denominators i.e. for 626,695 is 435070.
Thus, GCF of Fractions is 1/435070.Finally, GCF of Fractions for 3808/626, 8651/695 is 1/435070.